Answer:
32m^4 + 12m^3 = 4m^3(8m + 3) ---------->correct
40m^6 - 4 = 4(10m^6 - 1) ---------->correct
Step-by-step explanation:
32m^4 + 12m^3 = 4m^3(8m + 3) ---------->correct
40m^6 - 4 = 4(10m^6 - 1) ---------->correct
15m^3 - 6m = 3m(5m^2 - 2) , so it's not correct if answer : 3m(5m^2 - 6m)
6m^2 + 18m = 6m(m + 3) , so it's not correct if answer : 6m^2(1 + 3)
Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
___
For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
The coffee table is $302, and the couch is $906. Divide the total price by 4 and multiply that number by three. Add the two numbers to check. Hope this helps!
Part A: Let the September price be x, then
1.2x = 1.5
x = 1.5/1.2 = 1.25
Therefore, September price is $1.25
Part B: In September, they earned 0.4 * 1.25 * 900 = $450
In October, they earned 0.4 * 1.5 * 700 = $420
Therefore, they earned more money in September.
